When it comes to tragedy, the two works belong to different types of tragedy. Hamlet as a text is a revenge tragedy, that is, when someone who has been murdered sends someone else to avenge them, but at the end of the day, the one who has avenged and the one who committed the murder dies. In Eliot's Love Song by J. Alfred Prufrock, there is no revenge, so it is not a revenge tragedy, but it is a tragedy nonetheless because tragedy is also defined as a kind of poetry that provokes pity. If there's any sort of emotion produced by Elliot's work, it's a shame. Prufrock is a character who can be found annoying but who still feels a pinch of regret.